is 2 2733271 - 1
has 822797 decimal digits
takes 0.211 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L515CAC4A82CC0841double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26943.679168.1159%1565197547819040.50006.2723%44.179170.1158%1.9998%
PrimeNet2590.028162.7119%120002200000.00262.8493%0.030763.7743%1.0625%
GPU722630.583965.0794%140002400000.00291.7070%0.586965.6755%0.5961%
Difference+6+43.0952+3.0366%+1551197+54541904+0.4971+4.5652%+43.5922+4.4403%+1.4037%

Known prime factors:
No known factors for M2733271

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.194%
2003-11-28T00:00:00Team Prime Ribv4_computers15000225000---0.003--0.681%
2010-12-19T21:42:00Jocelyn LaroucheManual testing2000020000---0.002--0.226%
2010-12-28T02:16:00Jocelyn LaroucheManual testing3000030000---0.003--0.315%
2011-01-19T23:50:00Jocelyn LaroucheManual testing5000050000---0.006--0.461%
2011-02-28T11:04:00James Heinrichi7-9203000008000000---0.081--3.603%
2018-07-07T10:13:46Jocelyn Larouchelow 4M60000060000006---0.100--3.697%
2021-01-13T13:24:48GdSManual testing15651975478190412---0.500--6.272%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-04-13T00:00:00ANONYMOUSv4_computers21259--0.028--
2016-02-23T16:29:20Mark RoseManual testing259260--0.028--
2009-01-28T09:45:00Sturle Sundeiago.ifi260261--0.056--
2012-04-09T18:46:00markroldgamer261262--0.112--
2013-01-14T12:27:00dbaughManual testing262263--0.359--
2015-04-13T20:09:00VictordeHollanderManual testing263264--0.718--
2015-04-13T20:09:00VictordeHollanderManual testing264265--1.367--
2016-02-02T09:38:42ramgeisManual testing265266--2.734--
2017-10-05T11:09:29Gordon SpenceManual testing266267--5.468--
2019-02-15T01:31:26chuenkitManual testing267268--10.94--
2021-07-26T11:05:59TJAOIManual testing268269--21.87--


ECM factoring results:
Total ECM effort:14.589 GHz-days
Estimated T-Level:22.471
DigitsB1CompleteFacMiss
20110005.3490.475%
25500000.49461.012%
302500000.03196.926%
3510000000.00199.854%


ECM Summary

B1B2factorcurvesGHz-days
50000425000070.680
50000500000010210.59
50000645000070.817
50000673629370.835
500006750000141.672


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-23T00:00:00ANONYMOUSv4_computers515CAC4A82CC08410.211
2018-08-09T05:07:52kkmrkkblmbrbkold515CAC4A82CC08410.211


PRP results:
No PRP results for M2733271


P-1 factor-bounds graph:
B1 = 1565197, B2 = 54781904 (P-1 stage 2)
B1 = 1565197 (P-1 stage 1)
B1 = 600000, B2 = 6000000 (P-1 stage 2)
B1 = 300000, B2 = 8000000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 300000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 225000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-07-30T08:43:45+00:00